English

A short note on Jacobsthal's function

Number Theory 2013-06-06 v1

Abstract

The function g(n) represents the smallest number Q such that every sequence of Q consecutive integers contains an integer coprime to n. We give a new and explicit upper bound on this function.

Cite

@article{arxiv.1306.1064,
  title  = {A short note on Jacobsthal's function},
  author = {Fintan Costello and Paul Watts},
  journal= {arXiv preprint arXiv:1306.1064},
  year   = {2013}
}

Comments

4 pages, under submission

R2 v1 2026-06-22T00:28:25.056Z